Information on Result #618229

Linear OA(3249, 1025, F32, 25) (dual of [1025, 976, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3261, 1058, F32, 25) (dual of [1058, 997, 26]-code) [i](u, u+v)-Construction
2Linear OA(3262, 1069, F32, 25) (dual of [1069, 1007, 26]-code) [i]
3Linear OA(3263, 1071, F32, 25) (dual of [1071, 1008, 26]-code) [i]
4Linear OA(3264, 1089, F32, 25) (dual of [1089, 1025, 26]-code) [i]
5Linear OA(3265, 1091, F32, 25) (dual of [1091, 1026, 26]-code) [i]
6Linear OA(3266, 1101, F32, 25) (dual of [1101, 1035, 26]-code) [i]
7Linear OA(3267, 1103, F32, 25) (dual of [1103, 1036, 26]-code) [i]
8Linear OA(3268, 1123, F32, 25) (dual of [1123, 1055, 26]-code) [i]
9Linear OA(3269, 1125, F32, 25) (dual of [1125, 1056, 26]-code) [i]
10Linear OA(3270, 1129, F32, 25) (dual of [1129, 1059, 26]-code) [i]
11Linear OA(3271, 1367, F32, 25) (dual of [1367, 1296, 26]-code) [i]
12Linear OA(3272, 2049, F32, 25) (dual of [2049, 1977, 26]-code) [i]
13Linear OA(3271, 1049, F32, 25) (dual of [1049, 978, 26]-code) [i]Generalized (u, u+v)-Construction
14Linear OA(3267, 1045, F32, 25) (dual of [1045, 978, 26]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(3268, 1047, F32, 25) (dual of [1047, 979, 26]-code) [i]
16Linear OA(3269, 1091, F32, 25) (dual of [1091, 1022, 26]-code) [i]
17Linear OA(3270, 1102, F32, 25) (dual of [1102, 1032, 26]-code) [i]
18Linear OA(3271, 1113, F32, 25) (dual of [1113, 1042, 26]-code) [i]
19Linear OA(3272, 1115, F32, 25) (dual of [1115, 1043, 26]-code) [i]
20Linear OA(3272, 1122, F32, 25) (dual of [1122, 1050, 26]-code) [i]
21Linear OA(3260, 1037, F32, 25) (dual of [1037, 977, 26]-code) [i]✔Construction X with Cyclic Codes
22Linear OA(3254, 1030, F32, 27) (dual of [1030, 976, 28]-code) [i]✔
23Linear OA(3250, 1030, F32, 25) (dual of [1030, 980, 26]-code) [i]✔
24Linear OA(3260, 1036, F32, 29) (dual of [1036, 976, 30]-code) [i]✔
25Linear OA(3252, 1036, F32, 25) (dual of [1036, 984, 26]-code) [i]✔
26Linear OA(3266, 1042, F32, 31) (dual of [1042, 976, 32]-code) [i]✔
27Linear OA(3254, 1042, F32, 25) (dual of [1042, 988, 26]-code) [i]✔
28Linear OA(3272, 1048, F32, 33) (dual of [1048, 976, 34]-code) [i]✔
29Linear OA(3256, 1048, F32, 25) (dual of [1048, 992, 26]-code) [i]✔
30Linear OA(3278, 1054, F32, 35) (dual of [1054, 976, 36]-code) [i]✔
31Linear OA(3258, 1054, F32, 25) (dual of [1054, 996, 26]-code) [i]✔
32Linear OA(3284, 1058, F32, 37) (dual of [1058, 974, 38]-code) [i]✔
33Linear OA(3285, 1061, F32, 37) (dual of [1061, 976, 38]-code) [i]✔
34Linear OA(3283, 1058, F32, 36) (dual of [1058, 975, 37]-code) [i]✔
35Linear OA(3260, 1058, F32, 25) (dual of [1058, 998, 26]-code) [i]✔
36Linear OA(3261, 1061, F32, 25) (dual of [1061, 1000, 26]-code) [i]✔
37Linear OA(3259, 1058, F32, 24) (dual of [1058, 999, 25]-code) [i]✔
38Linear OA(3291, 1067, F32, 39) (dual of [1067, 976, 40]-code) [i]✔
39Linear OA(3298, 1071, F32, 41) (dual of [1071, 973, 42]-code) [i]✔
40Linear OA(3299, 1075, F32, 41) (dual of [1075, 976, 42]-code) [i]✔
41Linear OA(3296, 1069, F32, 40) (dual of [1069, 973, 41]-code) [i]✔
42Linear OA(3297, 1071, F32, 40) (dual of [1071, 974, 41]-code) [i]✔
43Linear OA(32105, 1081, F32, 43) (dual of [1081, 976, 44]-code) [i]✔